A critical dimension for the stability of perfect fluid spheres of radiation

Understand

An analysis of radiating perfect fluid models with asymptotically AdS boundary conditions is presented.

• Such scenarios consist of a spherical gas of radiation (a "star") localised near the centre of the spacetime due to the confining nature of the AdS potential.
• We consider the variation of the total mass of the star as a function of the central density, and observe that for large enough dimensionality, the mass increases monotonically with the density.
• However in the lower dimensional cases, oscillations appear, indicating that the perfect fluid model of the star is becoming unrealistic.